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Model reduction techniques for unstable second order-form systems
, Article IEEJ Transactions on Electrical and Electronic Engineering ; Volume 16, Issue 3 , 2021 , Pages 445-454 ; 19314973 (ISSN) ; Mohd-Mokhtar, R ; Haider, S ; Bukhari, S. H. R ; Rasool, A ; Sharif University of Technology
John Wiley and Sons Inc
2021
Abstract
In the present work, multiple non existing model order reduction (MOR) techniques for unstable second-order form systems (SOSs) are proposed. For unstable SOSs, continuous-time algebraic Lyapunov equations get unsolvable that halt the reduction process. To avoid this problem, unstable SOS is first decomposed into stable and unstable portions and balanced truncation is applied to the stable part. The obtained reduced order model (ROM) for the stable portion is augmented with the unstable portion to obtain the overall reduced system. It is observed that the second-order structure in ROM for the first technique gets lost as well as augmented unstable dynamics degrade the ROM performance. To...
Model reduction techniques for unstable second order-form systems
, Article IEEJ Transactions on Electrical and Electronic Engineering ; Volume 16, Issue 3 , 2021 , Pages 445-454 ; 19314973 (ISSN) ; Mohd Mokhtar, R ; Haider, S ; Bukhari, S. H. R ; Rasool, A ; Sharif University of Technology
John Wiley and Sons Inc
2021
Abstract
In the present work, multiple non existing model order reduction (MOR) techniques for unstable second-order form systems (SOSs) are proposed. For unstable SOSs, continuous-time algebraic Lyapunov equations get unsolvable that halt the reduction process. To avoid this problem, unstable SOS is first decomposed into stable and unstable portions and balanced truncation is applied to the stable part. The obtained reduced order model (ROM) for the stable portion is augmented with the unstable portion to obtain the overall reduced system. It is observed that the second-order structure in ROM for the first technique gets lost as well as augmented unstable dynamics degrade the ROM performance. To...